Goldbach Conjecture Explorer

Verify the Goldbach Conjecture: every even number ≥ 4 is the sum of two primes

About the Goldbach Conjecture

The Conjecture

Every even integer greater than 2 can be expressed as the sum of two prime numbers.

Examples: 4 = 2 + 2, 6 = 3 + 3, 8 = 3 + 5, 10 = 3 + 7

Current Status

Verified up to approximately 4 × 10¹⁸, but not proven for all even numbers.

Big Integer Support

This explorer uses Big Integer arithmetic to verify the conjecture for very large even numbers.

Verify Goldbach Conjecture

Romasm Implementation